BEGIN:VCALENDAR VERSION:2.0 PRODID:-//University of Utah Math Department//Commutative Algebra Seminar//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-WR-CALNAME:Commutative Algebra Seminar - Fall 2024 X-WR-CALDESC:Commutative Algebra Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20240830T140000-adam-boocher@math.utah.edu DTSTART;TZID=America/Denver:20240830T140000 DTEND;TZID=America/Denver:20240830T150000 DTSTAMP:20260914T190003Z SUMMARY:Arithmetic in the Boij Soederberg Cone DESCRIPTION:Speaker: Adam Boocher\, University of San Diego\n\nA finitely generated graded module over a polynomial ring can have the property that it is generated in a single degree. Further, it may happen that all of its relations have the same degree, and so on with all subsequent relations (syzygies). Such modules are called pure, and remarkably, the … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2024-fall/ END:VEVENT BEGIN:VEVENT UID:20240913T140000-haydee-lindo@math.utah.edu DTSTART;TZID=America/Denver:20240913T140000 DTEND;TZID=America/Denver:20240913T150000 DTSTAMP:20260914T190003Z SUMMARY:Introduction to trace ideals with applications DESCRIPTION:Speaker: Haydee Lindo\, Harvey Mudd College\n\nThe well-known trace map on matrices can be generalized to a map on any module over a commutative ring. The image of this map is a trace ideal. The modern theory of trace ideals has found far-reaching applications, for instance, in calculating centers of endomorphism rings, the classification of … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2024-fall/ END:VEVENT BEGIN:VEVENT UID:20241018T140000-krishna-hanumanthu@math.utah.edu DTSTART;TZID=America/Denver:20241018T140000 DTEND;TZID=America/Denver:20241018T150000 DTSTAMP:20260914T190003Z SUMMARY:Some recent results on Seshadri constants DESCRIPTION:Speaker: Krishna Hanumanthu\, Chennai Mathematical Institute\n\nLet X be a projective variety, and let L be an ample line bundle on X. For a point x in X, the Seshadri constant of L at x is defined as the infimum, taken over all curves C passing through x, of the ratios \frac{L.C}{m}, where L.C denotes the intersection product of L and C, and m is the … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2024-fall/ END:VEVENT BEGIN:VEVENT UID:20241025T140000-jon-carlson@math.utah.edu DTSTART;TZID=America/Denver:20241025T140000 DTEND;TZID=America/Denver:20241025T150000 DTSTAMP:20260914T190003Z SUMMARY:Locally dualizable modules abound DESCRIPTION:Speaker: Jon Carlson\, University of Georgia\n\nThis is joint work with Srikanth Iyengar. The derived category of a commutative local noetherian ring and the module category of a modular group algebra are tensor triangulated categories. A dualizable object in such a category is one that has a dual that is compatible with the tensor structure. The … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2024-fall/ END:VEVENT BEGIN:VEVENT UID:20241101T140000-david-eisenbud@math.utah.edu DTSTART;TZID=America/Denver:20241101T140000 DTEND;TZID=America/Denver:20241101T150000 DTSTAMP:20260914T190003Z SUMMARY:(More) Summands of syzygies DESCRIPTION:Speaker: David Eisenbud\, University of California, Berkeley\n\nTwo years ago I spoke on work with Hailong Dao on the summands in syzygies of modules over artinian Burch rings. I'll review that story, and explain what we now know and conjecture about the direct sum decompositions of syzygies more generally. This is work -- very much "in progress" -- with Dao, … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2024-fall/ END:VEVENT BEGIN:VEVENT UID:20241206T140000-tongmu-he@math.utah.edu DTSTART;TZID=America/Denver:20241206T140000 DTEND;TZID=America/Denver:20241206T150000 DTSTAMP:20260914T190003Z SUMMARY:Perfectoidness via Sen Theory and Applications to Shimura Varieties DESCRIPTION:Speaker: Tongmu He\, Princeton University\n\nThere is a longstanding question about the perfectoidness of Shimura varieties at infinite level, which would lead to a profound connection between étale cohomology and coherent cohomology. In this talk, we will develop a p-adic Hodge theory for general valuation rings, generalizing Tate's work on … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2024-fall/ END:VEVENT END:VCALENDAR